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Finding the Fourth Proportional to 23,077.95, 34,593.91 and 9,754.30

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Solution

The fourth proportional to 23,077.95, 34,593.91 and 9,754.30 is: 14,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.95 : 34,593.91 = 9,754.30 : x
  2. Step 2: Convert to fraction form
    23,077.95/34,593.91 = 9,754.30/x
  3. Step 3: Cross multiply
    23,077.95x = 34,593.91 × 9,754.30
  4. Step 4: Simplify right side
    23,077.95x = 337,439,376.31
  5. Step 5: Solve for x
    x = 337,439,376.31/23,077.95
  6. Step 6: Final answer
    x = 14,621.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.